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Finding the Third Proportional to 62.86 and 95.34

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Solution

The third proportional to 62.86 and 95.34 is: 144.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.86 : 95.34 = 95.34 : x
  2. Step 2: Convert to fraction form
    62.86/95.34 = 95.34/x
  3. Step 3: Cross multiply
    62.86x = 95.34 × 95.34
  4. Step 4: Simplify right side
    62.86x = 9,090.43
  5. Step 5: Solve for x
    x = 9,090.43/62.86
  6. Step 6: Final answer
    x = 144.62

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.